Question

Solve each quadratic equation. Show your work
Where do i start?
4x^2 = 100

Answer 1

divide both sides by 4 to isolate x^2:-
x^2 = 25

can you continue?

Answer 2

that will give the answer right

Answer 3

well you need to find the value of x

x ^2 means x times x

so you need to think of a number which when multiplied by itself gives 25 ?

Answer 4

Okay.
4x^2/4 100/4 = 25

Answer 5

Does that get rid of the x^2?

Answer 6

the work shown should help get the solution which i think is 25

Answer 7

Yeah 100/4=25

Answer 8

Do i have x^2 any more or does it go with the 4 @welshfella ?

Answer 9

no 25 is not the solution
we have x^2 = 25
so x = ?

Answer 10

so 25 is the answer

Answer 11

25x^2?

Answer 12

100 is the solution

Answer 13

x=4

Answer 14

no
the solution is the value of x
we know that x times x = 25 so what must x be?

Answer 15

Not 4
because 4*4 = 16 not 25

Answer 16

what do you think

Answer 17

How do we find the value of x?

Answer 18

x is the square root of 25
that is the number that when multiplied by itself gives 25

for example 3 is square root of 9
as 3 * 3 = 9

Answer 19

hold on let me try to figure this out

Answer 20

what times what = 25?

Answer 21

so you would use square root

Answer 22

yea

Answer 23

okay

Answer 24

625?

Answer 25

i think so

Answer 26

no - thats the SQUARE of 25
25*25 = 625

Answer 27

okay what do you think

Answer 28

5 *1 = 5
5*2 = 10
5*3 = 15
5*4 = 20

what comes next?

Answer 29

now you have it

Answer 30

25

Answer 31

sooooo

Answer 32

5 is the square root of 25
because 5 * 5 = 25
x^2 = 25
so
x = 5

Answer 33

Alright

Answer 34

actually there is 2 answers 5 and -5

because -5*-5 is also equal to 25

Answer 35

okay was i right

Answer 36

Neat. Thanks for helping me i appreciate it :)

Answer 37

@kitty_lover1234 No . 25 is not the answer

Answer 38

what do you think it is

Answer 39

x=5

Answer 40

okay

Answer 41

also -5


write the answer as {5,-5}

Answer 42

Alright

Answer 43

that is what is known as the 'solution set'. Written in curly brackets.

Answer 44

i see where i went wrong